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11313010044 = 2233726013557
BaseRepresentation
bin10101000100100111…
…01101010101111100
31002012102102110022000
422202103231111330
5141132112310134
65110325022300
7550226666400
oct124223552574
932172373260
1011313010044
114885998986
122238854990
1310b3a2c0ab
147946ad100
154632bce99
hex2a24ed57c

11313010044 has 144 divisors (see below), whose sum is σ = 34184979360. Its totient is φ = 3226003200.

The previous prime is 11313009991. The next prime is 11313010057. The reversal of 11313010044 is 44001031311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11313009999 and 11313010026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3178714 + ... + 3182270.

It is an arithmetic number, because the mean of its divisors is an integer number (237395690).

Almost surely, 211313010044 is an apocalyptic number.

11313010044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11313010044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17092489680).

11313010044 is an abundant number, since it is smaller than the sum of its proper divisors (22871969316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11313010044 is a wasteful number, since it uses less digits than its factorization.

11313010044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11313010044 its reverse (44001031311), we get a palindrome (55314041355).

The spelling of 11313010044 in words is "eleven billion, three hundred thirteen million, ten thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 601 756 882 1202 1323 1764 1803 2404 2646 3557 3606 4207 5292 5409 7114 7212 8414 10671 10818 12621 14228 16227 16828 21342 21636 24899 25242 29449 32013 32454 37863 42684 49798 50484 58898 64026 64908 74697 75726 88347 96039 99596 113589 117796 128052 149394 151452 174293 176694 192078 224091 227178 265041 298788 348586 353388 384156 448182 454356 522879 530082 672273 697172 795123 896364 1045758 1060164 1344546 1568637 1590246 2091516 2137757 2689092 3137274 3180492 4275514 4705911 6274548 6413271 8551028 9411822 12826542 14964299 18823644 19239813 25653084 29928598 38479626 44892897 57719439 59857196 76959252 89785794 104750093 115438878 134678691 179571588 209500186 230877756 269357382 314250279 404036073 419000372 538714764 628500558 808072146 942750837 1257001116 1616144292 1885501674 2828252511 3771003348 5656505022 11313010044